5y^2=9y

Solution for 5y^2=9y equation:

Simplifying
5y2 = 9y

Solving
5y2 = 9y

Solving for variable 'y'.

Reorder the terms:
-9y + 5y2 = 9y + -9y

Combine like terms: 9y + -9y = 0
-9y + 5y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-9 + 5y) = 0

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0
Subproblem 2
Set the factor '(-9 + 5y)' equal to zero and attempt to solve:

Simplifying
-9 + 5y = 0

Solving
-9 + 5y = 0

Move all terms containing y to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 5y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 5y = 0 + 9
5y = 0 + 9

Combine like terms: 0 + 9 = 9
5y = 9

Divide each side by '5'.
y = 1.8

Simplifying
y = 1.8
Solution
y = {0, 1.8}